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Finding the Third Proportional to 6,644,578.50 and 10,409,784.75

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Solution

The third proportional to 6,644,578.50 and 10,409,784.75 is: 16,308,576.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644,578.50 : 10,409,784.75 = 10,409,784.75 : x
  2. Step 2: Convert to fraction form
    6,644,578.50/10,409,784.75 = 10,409,784.75/x
  3. Step 3: Cross multiply
    6,644,578.50x = 10,409,784.75 × 10,409,784.75
  4. Step 4: Simplify right side
    6,644,578.50x = 108,363,618,541,332.56
  5. Step 5: Solve for x
    x = 108,363,618,541,332.56/6,644,578.50
  6. Step 6: Final answer
    x = 16,308,576.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.